Fractals from Voronoi diagrams

A Voronoi diagram is created from a set of points by dividing the plane into
regions, where each region consists of the area closest to one of the points.

To create a fractal, first create a Voronoi diagram from some points. Next,
add more points and create new Voronoi diagrams inside each original
Voronoi region. Repeat the process recursively. The following figure
illustrates this process.

The following image shows the leaf-like structure that can be created
by this technique.

If the points are distributed in a circle, a fractal such as the following
can be created.